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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
  You should cook your bottom round roast 30 minutes per pound simmering slowing on the stove top, in the oven or in a crock pot/slow cooker for at least 3 hours submerged â¦ in liquid. Liquids can be a combination of spices, red wine, beef broth and water.